Definition:Second Principle of Mathematical Induction/Induction Hypothesis

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Terminology of Second Principle of Mathematical Induction

Consider a Proof by Complete Induction.

The assumption that $\forall j: n_0 \le j \le k: \map P j$ is true for some $k \in \Z$ is the induction hypothesis.

Also known as

The induction hypothesis can also be referred to as the inductive hypothesis.